Because the half-life is 28 years, the number of moles halves every 28 years.so let u = 28 years.50 (Original) * .5^u (halves every U years) = 32 (ending sample).5^u = 32/50using change of base we have:u = log(32/50)/log(.5)= 0.643856190.64385619* 28 years = 18.0279733 yearsHope this helps!